Multi - instantons and Maldacena's conjecture

We examine certain n-point functions Gn in = 4 supersymmetric SU(N) gauge theory at the conformal point. In the large-N limit, we are able to sum all leading-order multi-instanton contributions exactly. We find compelling evidence for Maldacena's conjecture: (1) The large-N k-instanton collective coordinate space has the geometry of AdS5 × S5, (2) In exact agreement with type IIB superstring calculations, at the k-instanton level, Gn = N1/2g8kn−7/2e−8π2kg2∑d|kd−2Fn(x1,...,xn), where Fn is identical to a convolution of n bulk-to-boundary SUGRA propagators.